797537040300 has 2880 divisors, whose sum is σ = 3794317148160. Its totient is φ = 139408128000.

The previous prime is 797537040241. The next prime is 797537040317. The reversal of 797537040300 is 3040735797.

797537040300 is a `hidden beast` number, since 79 + 7 + 537 + 0 + 40 + 3 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 4775670817 + ... + 4775670983.

It is an arithmetic number, because the mean of its divisors is an integer number (1317471232).

Almost surely, 2^797537040300 is an apocalyptic number.

797537040300 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 797537040300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897158574080).

797537040300 is an abundant number, since it is smaller than the sum of its proper divisors (2996780107860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

797537040300 is a wasteful number, since it uses less digits than its factorization.

797537040300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The spelling of 797537040300 in words is "seven hundred ninety-seven billion, five hundred thirty-seven million, forty thousand, three hundred".